91Ó°ÊÓ

OPEN-ENDED Write a real-life example of a ratio.

CHALENGE Find the value of$\mathit{k}$for which each equation is an identity.

a.$\mathbf{k}\left(\mathbf{3}\mathbf{x}−\mathbf{2}\right)=\mathbf{4}−\mathbf{6}\mathbf{x}$ b.$\mathbf{15}\mathbf{y}−\mathbf{10}+\mathbf{k}=\mathbf{2}\left(\mathbf{ky}−\mathbf{1}\right)−\mathbf{y}$

Evaluate each expression if $m=−8,n=4,$and $p=−12$.

$\left|3m−n\right|$

Compare and contrast solving equations with variables on both sides of the equation to solving one-step or multi-step equations with a variable on one side of the equation.

Solve each equation. Check your solution.

$\frac{2}{3}=\frac{1}{8}y$

FIND THE ERROR Maddie and Xavier are solving for the percent change if the original amount was \(25 and the new amount is \)28. Is either of them correct? Explain your reasoning.

Solve each equation. Check your solution.

$3.6−2.4m=12$

REASONING Compare and contrast ratios and rates.

Write an equation involving absolute value for each graph.

Write a problem about your favorite television show that uses the equation $x+8=30$.